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Finding the Fourth Proportional to 597.93, 824.07 and 410.97

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Solution

The fourth proportional to 597.93, 824.07 and 410.97 is: 566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.93 : 824.07 = 410.97 : x
  2. Step 2: Convert to fraction form
    597.93/824.07 = 410.97/x
  3. Step 3: Cross multiply
    597.93x = 824.07 × 410.97
  4. Step 4: Simplify right side
    597.93x = 338,672.68
  5. Step 5: Solve for x
    x = 338,672.68/597.93
  6. Step 6: Final answer
    x = 566.41

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.